Generalized Beltrami flows and other closed-form solutions of an unsteady viscoelastic fluid.
Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type
Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials
This paper is devoted to the analysis of a one-dimensional model for phase transition phenomena in thermoviscoelastic materials. The corresponding parabolic-hyperbolic PDE system features a strongly nonlinear internal energy balance equation, governing the evolution of the absolute temperature , an evolution equation for the phase change parameter , including constraints on the phase variable, and a hyperbolic stress-strain relation for the displacement variable . The main novelty of the model...
Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation